Fuzzy logic approach for modelling multiplayer game scoring system

With the introduction of multiplayer games on mobile terminals, the need for scoring and ranking systems has occurred. This article presents a game scoring system with the score submission and ranking component. Classic two player game model with win, loose or draw outcomes is examined. Statistics-based and fuzzy logic scoring systems are proposed and compared, with the results showing that fuzzy logic approach is more adequate to build into scorings that refer to player's rankings and game outcome, as well as to be applied in the new generation mobile multiplayer games. I. INTRODUCTION Games have always been popular among the people, as a form of entertainment, supporting social interactivities between them. With the development of computer science and powerful hardware platforms, they have shown their full potential. In search for a game definition J. Huinziga in 1938 in his work Homo Ludens (1) gives a following definition to play. "(Play) is an activity which proceeds within certain limits of time and space, in a visible order, according to rules freely accepted, and outside the sphere of necessity or material utility. The play-mood is one of rapture and enthusiasm, and is sacred or festive in accordance with the occasion. A feeling of exaltation and tension accompanies the action, mirth and relaxation follow." According to the game theory (2) a game definition is based on conflict situation. Conflict situation is a situation where interests of two or more parties (called players) are confronted. The outcome of the game is a direct consequence of actions made by all participants in the game. Game is defined by sets of rules and agreements that players have to obey, which describe the structure of some conflict situation. These rules define the following: the alternatives that are offered to a player in each stage of the game, the information that is provided to the user at the time of choice between alternatives, and the payoff (or a goal) that motivates the player to successfully complete the game. An abstract view of the game is shown on fig 1, describing the three main aspects of the game (3) and their relationships. A challenge is the most important aspect of the game. Rules define the game, and consequently the goal of the game. When a player decides to play the game he accepts to follow the rules and he is motivated to reach the goal. A conflict is presented in some form of opponent that represents an obstruction to the player while reaching the goal. A play is referring to the rules which, player opponent rules